Mathematical Models for Elastic Structures
Mathematical Models for Elastic Structures
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During the seventeenth century, several useful theories of elastic structures emerged, with applications to civil and mechanical engineering problems. Recent and improved mathematical tools have extended applications into new areas such as mathematical physics, geomechanics, and biomechanics. This book offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures that are used to solve practical problems with particular emphasis on nonlinear problems.
- Presents a collection of interesting and important elasticity problems not readily available in a single source
- Applies elasticity theory to the solution of practical engineering problems
- Provides historical context for many problems
Reviews & endorsements
"One can classify this book as one with a complete coverage of existing models of elastic structures...It definitely is a valuable reference book for researchers in the field of structural mechanics..." Applied Mechanics Reviews
"The general opinion of this reviewer is that Villaggio's book is valuable and that it will constitute an important reference in the years to come." SIAM Review
Product details
September 2005Paperback
9780521017985
696 pages
254 × 178 × 36 mm
1.171kg
121 b/w illus.
Available
Table of Contents
- Preface
- Introduction
- 1. Basic concept
- 2. Rod theories: three-dimensional approach
- 3. Rod theories: director approach
- 4. Theories of cables
- 5. Theories of membranes
- 6. Theories of plates
- 7. Theories of shells.
